Question
Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2 $
$a^2 x^2+2 a b x+b^2$
$a^2 x^2+2 a b x+b^2$
✓
Answer
$a^2 x^2+2 a b x+b^2$
$=(a x)^2+2 \times a x \times b+b^2$
$=(a x+b)^2$
$=(a x+b)(a x+b)$
$=(a x)^2+2 \times a x \times b+b^2$
$=(a x+b)^2$
$=(a x+b)(a x+b)$
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